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Finding the Fourth Proportional to 128,231,438,532.30, 179,157,096,231.30 and 128,231,438,532.30

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Solution

The fourth proportional to 128,231,438,532.30, 179,157,096,231.30 and 128,231,438,532.30 is: 179,157,096,231.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,231,438,532.30 : 179,157,096,231.30 = 128,231,438,532.30 : x
  2. Step 2: Convert to fraction form
    128,231,438,532.30/179,157,096,231.30 = 128,231,438,532.30/x
  3. Step 3: Cross multiply
    128,231,438,532.30x = 179,157,096,231.30 × 128,231,438,532.30
  4. Step 4: Simplify right side
    128,231,438,532.30x = 22,973,572,173,009,300,488,192
  5. Step 5: Solve for x
    x = 22,973,572,173,009,300,488,192/128,231,438,532.30
  6. Step 6: Final answer
    x = 179,157,096,231.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.